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Finding the Fourth Proportional to 7,886.44, 11,807.58 and 4,180.30

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Solution

The fourth proportional to 7,886.44, 11,807.58 and 4,180.30 is: 6,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.44 : 11,807.58 = 4,180.30 : x
  2. Step 2: Convert to fraction form
    7,886.44/11,807.58 = 4,180.30/x
  3. Step 3: Cross multiply
    7,886.44x = 11,807.58 × 4,180.30
  4. Step 4: Simplify right side
    7,886.44x = 49,359,226.67
  5. Step 5: Solve for x
    x = 49,359,226.67/7,886.44
  6. Step 6: Final answer
    x = 6,258.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.